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Finding the Fourth Proportional to 16,720.59, 23,076.77 and 10,349.23

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Solution

The fourth proportional to 16,720.59, 23,076.77 and 10,349.23 is: 14,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,720.59 : 23,076.77 = 10,349.23 : x
  2. Step 2: Convert to fraction form
    16,720.59/23,076.77 = 10,349.23/x
  3. Step 3: Cross multiply
    16,720.59x = 23,076.77 × 10,349.23
  4. Step 4: Simplify right side
    16,720.59x = 238,826,633.26
  5. Step 5: Solve for x
    x = 238,826,633.26/16,720.59
  6. Step 6: Final answer
    x = 14,283.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.